Characterizations of \(^*\)orthant-monotonic norms
type: Item
instance of: scholarly article
title: Characterizations of \(^*\)orthant-monotonic norms
zbMATH Open document ID: 0793.15016
DOI: 10.1016/0024-3795(93)90267-R
author: E. Marques de Sá
author: Maria José Sodupe
published in: Linear Algebra and its Applications
publication date: 1994-04-27T00:00:00Z
review text: Let \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\). A norm \(p(\cdot)\) on \(\mathbb{K}^ n\) is called \(*\)orthant-monotonic if for every coordinate subspace \(H\subset\mathbb{K}^ n\) the inequality \(p(x)\leq p(x+y)\) \(\forall x\in H\) \(\forall y\in H^ \perp\) holds. The authors give a list of equivalent conditions, characterizing such norms.
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 539961
zbMATH Keywords: star-orthant
zbMATH Keywords: monotonic norms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 539961